-8n+40=3(3-6n)+1

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Solution for -8n+40=3(3-6n)+1 equation: 


Simplifying
-8n + 40 = 3(3 + -6n) + 1

Reorder the terms:
40 + -8n = 3(3 + -6n) + 1
40 + -8n = (3 * 3 + -6n * 3) + 1
40 + -8n = (9 + -18n) + 1

Reorder the terms:
40 + -8n = 9 + 1 + -18n

Combine like terms: 9 + 1 = 10
40 + -8n = 10 + -18n

Solving
40 + -8n = 10 + -18n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '18n' to each side of the equation.
40 + -8n + 18n = 10 + -18n + 18n

Combine like terms: -8n + 18n = 10n
40 + 10n = 10 + -18n + 18n

Combine like terms: -18n + 18n = 0
40 + 10n = 10 + 0
40 + 10n = 10

Add '-40' to each side of the equation.
40 + -40 + 10n = 10 + -40

Combine like terms: 40 + -40 = 0
0 + 10n = 10 + -40
10n = 10 + -40

Combine like terms: 10 + -40 = -30
10n = -30

Divide each side by '10'.
n = -3

Simplifying
n = -3

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